Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Memory management system, 1. Basic Heap: Each memory location in our model ...

1. Basic Heap: Each memory location in our model of the RAM will be an instance of type Memory: 2. typedef union Memory_u Memory; 3. union Memory_u{ 4. char character;

Decode the given code, write c++ program to decode the given code. in mobil...

write c++ program to decode the given code. in mobile keypad the integers from 1 to 9 will display the characters from a to z and 0 will assign a space

Common c control flow instructions, In this Lab you will code 8086 assemble...

In this Lab you will code 8086 assembler equivalents (Virgo) for common C control flow instructions. This will give you an appreciation for how control flow is implemented in assem

C program for palindrome, C Program for Palindrome Norm...

C Program for Palindrome Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4

Odd even program, Write a program called OddEven that will prompt the user ...

Write a program called OddEven that will prompt the user for an integer and print/display a message indicating whether it is even or odd. Continue prompting for numbers from the us

Data structures, what are 3 conditions under which the sequential search of...

what are 3 conditions under which the sequential search of a list is preferable to binary search?

Draw pie chart in c++ program, Draw pie chart in c++ program: int main...

Draw pie chart in c++ program: int main() {                 char cmd;                   cout                 cout                 cmd = toupper(getch());

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd